The second moment of the size of the 2-class group of monogenized cubic fields is at most 3 for totally real fields and at most 6 for complex fields, with matching lower bounds conditional on a tail estimate.
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The second moment of the size of the $2$-class group of monogenized cubic fields
The second moment of the size of the 2-class group of monogenized cubic fields is at most 3 for totally real fields and at most 6 for complex fields, with matching lower bounds conditional on a tail estimate.